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Finding the Third Proportional to 8,323 and 17,812

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Solution

The third proportional to 8,323 and 17,812 is: 38,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 17,812 = 17,812 : x
  2. Step 2: Convert to fraction form
    8,323/17,812 = 17,812/x
  3. Step 3: Cross multiply
    8,323x = 17,812 × 17,812
  4. Step 4: Simplify right side
    8,323x = 317,267,344
  5. Step 5: Solve for x
    x = 317,267,344/8,323
  6. Step 6: Final answer
    x = 38,119.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.